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2014•Journal of Bohai UniversityRequires access

Stability analysis of an SIQRS epidemic model with impulsive vaccination

Song Ya

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Abstract

This paper deals with an SIQRS epidemic model of impulsive vaccination with constant input and nonlinearity of incidence rate. Using the Floquet theorem and compare theorem of impulsive differential equation,the sufficient condition is obtained under which the disease-free periodic solution is globally asymptotically stable. It is proved that the system is uniform permanence under some conditions.

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What this paper is about

This paper deals with an SIQRS epidemic model of impulsive vaccination with constant input and nonlinearity of incidence rate. Using the Floquet theorem and compare theorem of impulsive differential equation,the sufficient condition is obtained under which the disease-free periodic solution is globally asymptotically stable. It is proved that the system is uniform permanence under some conditions.

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Available abstract

This paper deals with an SIQRS epidemic model of impulsive vaccination with constant input and nonlinearity of incidence rate. Using the Floquet theorem and compare theorem of impulsive differential equation,the sufficient condition is obtained under which the disease-free periodic solution is globally asymptotically stable. It is proved that the system is uniform permanence under some conditions.

Key concepts: Floquet theory, Epidemic model, Comparison theorem, Mathematics, Stability (learning theory), Constant (computer programming), Nonlinear system, Differential equation

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